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Pre-Cal 40S Slides October 26, 2007
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Pre-Cal 40S Slides October 26, 2007

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Finish proving the angle sum and difference identities ... exercises.

Finish proving the angle sum and difference identities ... exercises.

Published in: Technology, Business

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Transcript

  • 1. PROOF continued ... Proofing
  • 2. Proofs of the Sum and Difference Identities ... O Rotate ∠ROP so that OP O lies on the positive x-axis
  • 3. Proofs of the Sum and Difference Identities ... O Rotate ∠ROP so that OP O lies on the positive x-axis
  • 4. Recall the Even and Odd Identities The sine and tangent functions are ODD functions. Cosine is an EVEN function. sin(-x) = -sin(x) cos(-x) = cos(x) tan(-x) = -tan(x)
  • 5. Recall the Even and Odd Identities The sine and tangent functions are ODD functions. Cosine is an EVEN function. sin(-x) = -sin(x) cos(-x) = cos(x) tan(-x) = -tan(x)
  • 6. Now back to our regularly scheduled programming ...
  • 7. How would you show this ...
  • 8. Recall the Even and Odd Identities The sine and tangent functions are ODD functions. Cosine is an EVEN function. sin(-x) = -sin(x) cos(-x) = cos(x) tan(-x) = -tan(x) How would you show this ...
  • 9. Given: With and Find
  • 10. Given: With and Find
  • 11. Prove the following identity ...
  • 12. Prove: